GCD of 469, 398, 331, 516 Calculator

Given Input numbers are 469, 398, 331, 516

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Greatest Common Divisior

We found the divisors of 469, 398, 331, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 469, 398, 331, 516 is 1.

Therefore, GCD of numbers 469, 398, 331, 516 is 1

Given Input Data is 469, 398, 331, 516

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 469 is 7 x 67

Prime Factorization of 398 is 2 x 199

Prime Factorization of 331 is 331

Prime Factorization of 516 is 2 x 2 x 3 x 43

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(469, 398) = 186662

GCD(469, 398) = ( 469 x 398 ) / 186662

GCD(469, 398) = 186662 / 186662

GCD(469, 398) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 331

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

GCD(1, 331) = 331 / 331

GCD(1, 331) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 516

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

GCD of 469, 398, 331, 516 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 449, 966, 544, 609
• GCD of 112, 358, 423, 798
• GCD of 898, 740, 473, 980
• GCD of 638, 652, 251, 135
• GCD of 112, 458, 694, 290

1. What is the GCD of 469, 398, 331, 516?

GCD of 469, 398, 331, 516 is 1

2. Where do I get the detailed procedure to find GCD of 469, 398, 331, 516?

You can find a detailed procedure to find GCD of 469, 398, 331, 516 on our page.

3. How to find GCD of 469, 398, 331, 516 on a calculator?

You can find the GCD of 469, 398, 331, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.